Pith Number

pith:YQQROBY6

pith:2006:YQQROBY6E7JGYR7YFP5RI5BKXR

not attested not anchored not stored refs pending

All orders Boltzmann collision term from the multiple scattering expansion of the self-energy

F. Fillion-Gourdeau, J.-S. Gagnon, S. Jeon

arxiv:hep-ph/0603212 v3 · 2006-03-24 · hep-ph

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YQQROBY6E7JGYR7YFP5RI5BKXR}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-07-04T17:01:42.353659Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c42117071e27d26c47f82bfb14742abc504d4b7e1136335189ae40ca9dab35ec

Aliases

arxiv: hep-ph/0603212 · arxiv_version: hep-ph/0603212v3 · doi: 10.48550/arxiv.hep-ph/0603212 · pith_short_12: YQQROBY6E7JG · pith_short_16: YQQROBY6E7JGYR7Y · pith_short_8: YQQROBY6

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/YQQROBY6E7JGYR7YFP5RI5BKXR \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: c42117071e27d26c47f82bfb14742abc504d4b7e1136335189ae40ca9dab35ec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "25b6839cd77e9de601eb1d1b8d42f62bf4c9d4ceb105d40a8f6fc3d9d344a1ed",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2006-03-24T20:24:21Z",
    "title_canon_sha256": "d5be6d53720dec1cd0324a62c8219b261de89c9e4e4de731453d20bee9ce9d70"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0603212",
    "kind": "arxiv",
    "version": 3
  }
}